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Tool: Similar triangles - ratio of areas - Math Open Reference:
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An interactive applet and associated web page that demonstrate that in similar triangles, the ratio of their areas is the square of the ratio of the sides. As you drag one triangle to resize it, it remains similar to another and the ratios of sides and areas is calculated as you drag. One can be seen to be the square of the other at all times. A slight "snap-to" effect allows easy selection of integer ratios (2:4 etc).

Applet can be enlarged to full screen size for use with a classroom projector. After use in the classroom, student can access it again from any web browser at home or in the library with no login required.

This resource is a component of the Math Open Reference interactive geometry reference book project at

Technology Type: Java Applet 
Author: John Page
Language: English 
Cost: Does not require payment for use

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Courses: Geometry Similarity, Perimeter, area, and volume